The two-excitation system comprising two two-level atoms resonantly interacting with two coupled cavities is analyzed. The evolution of the state vector of the system is given when the total excitation number equals two. By means of the numerical calculations, the temporal evolution in the entanglement is investigated between the atoms, between the cavities, as well as between the atom and the local cavity mode. The influences of coupling constant between cavities on the entanglements are discussed. The results obtained show that atom and atom are separable, and the cavity-cavity entanglement and the atom-cavity entanglement are weakened with increasing of the coupling constant between cavities.